Hantaviruses are rodent-borne agents that cause hemorrhagic fever with renal syndrome or hantavirus pulmonary syndrome in humans. The nucleocapsid protein (N) is relatively conserved among hantaviruses and highly immunogenic in both laboratory animals and humans, and it has been shown to induce efficient protective immunity in animal models. To investigate the ability of recombinant N (rN) from...

Given a linear isometry A0 : Rn → Rn of finite order on Rn , a general 〈A0〉-invariant closed subset M of Rn is considered with Lipschitz boundary. Under suitable topological restrictions the existence of A0-invariant geodesics of M is proven.

We study the quantitative stability of critical points fractional Sobolev inequality. show that, for a non-negative function u∈H˙s(RN) whose energy satisfies12SN,sN2s≤‖u‖H˙s(RN)≤32SN,sN2s, where SN,s is optimal constant, bound‖u−U[z,λ]‖H˙s(RN)≲‖(−Δ)su−u2s⁎−1‖H˙−s(RN), holds suitable Talenti bubble U[z,λ]. For functions u which are close to bubbles, we give sharp asymptotic value implied constan...

Suppose $textbf{M}_{n}$ is the vector space of all $n$-by-$n$ real matrices, and let $mathbb{R}^{n}$ be the set of all $n$-by-$1$ real vectors. A matrix $Rin textbf{M}_{n}$ is said to be $textit{row substochastic}$ if it has nonnegative entries and each row sum is at most $1$. For $x$, $y in mathbb{R}^{n}$, it is said that $x$ is $textit{sut-majorized}$ by $y$ (denoted by $ xprec_{sut} y$) if t...

The frequency of the dominant RN− allele (Rendement Napole) was estimated in purebred Swedish Hampshire pigs (n = 208) by using the estimated glycogen content in the longissimus muscle at slaughter (glycolytic potential; GP). Carriers (n = 177) and noncarriers (n = 31) of the RN− allele were compared with purebred Swedish Yorkshire (Y, n = 208) and Swedish Landrace (L, n = 114) pigs with respec...

We develop a theory of existence and uniqueness for the following porous medium equation with fractional diffusion,  ∂u ∂t + (−∆)σ/2(|u|m−1u) = 0, x ∈ RN , t > 0, u(x, 0) = f(x), x ∈ RN , with data f ∈ L1(RN ) and exponents 0 < σ < 2, m > m∗ = (N − σ)+/N . An L1-contraction semigroup is constructed. Nonnegative solutions are proved to be continuous and strictly positive for all x ∈ RN , t > 0...

Let D1,2(RN ) denote the closure of C∞ 0 (R N ) in the norm ‖u‖2 D1,2(RN ) = ∫ RN |∇u|2. Let N ≥ 3 and define the constants αN = N(N − 2) and CN = (N(N − 2)) N−2 4 . Let K ∈ C2(RN ). We consider the following problem for ε ≥ 0 : (Pε) ⎪⎨⎪⎩ Find u ∈ D1,2(RN ) solving : −∆u = αN (1 + εK(x))u N+2 N−2 , u > 0 } in RN . We show an exact multiplicity result for (Pε) for all small ε > 0.

The red nucleus (RN) is a neuronal population that plays an important role in forelimb motor control and locomotion. Histologically it is subdivided into two subpopulations, the parvocellular RN (pRN) located in the diencephalon and the magnocellular RN (mRN) in the mesencephalon. The RN integrates signals from motor cortex and cerebellum and projects to spinal cord interneurons and motor neuro...